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Finding the Fourth Proportional to 5,774.88, 7,968.84 and 3,256.49

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Solution

The fourth proportional to 5,774.88, 7,968.84 and 3,256.49 is: 4,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.88 : 7,968.84 = 3,256.49 : x
  2. Step 2: Convert to fraction form
    5,774.88/7,968.84 = 3,256.49/x
  3. Step 3: Cross multiply
    5,774.88x = 7,968.84 × 3,256.49
  4. Step 4: Simplify right side
    5,774.88x = 25,950,447.77
  5. Step 5: Solve for x
    x = 25,950,447.77/5,774.88
  6. Step 6: Final answer
    x = 4,493.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.